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The temperature was
4^(@)F at 10:00 PM. It dropped an average of
3^(@) each hour for the next 6 hours. What was the temperature at 4:00 AM?

$3$ . The temperature was $4^{\circ} \mathrm{F}$ at $10$ : $00$ PM. It dropped an average of $3^{\circ}$ each hour for the next $6$ hours. What was the temperature at $4$ : $00$ AM?

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Compare temperatures above and below zero

Full solution

Q.

3

. The temperature was

4^{\circ} \mathrm{F}

at

10

:

00

PM. It dropped an average of

3^{\circ}

each hour for the next

6

hours. What was the temperature at

4

:

00

AM?

Initial Temperature: Initial temperature at $10$ : $00$ PM: $4\degree F$ $\newline$ Temperature drop per hour: $3\degree F$ $\newline$ Total hours of temperature drop: $6$ hours $\newline$ Calculate total temperature drop: $3\degree F/hour \times 6$ hours
Total Temperature Drop: Total temperature drop: $3\,^\circ\mathrm{F}/\text{hour} \times 6\,\text{hours} = 18\,^\circ\mathrm{F}$ $\newline$ Subtract total drop from initial temperature: $4\,^\circ\mathrm{F} - 18\,^\circ\mathrm{F}$
Final Temperature: Final temperature at $4$ : $00$ AM: $4\degree F - 18\degree F = -14\degree F$

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